Question

Mark is 7 less than 2 times as old as Tim. Together there age is 59, how old is Tim?

Answer 1

The age of Tim is;

`22\text{ years}`

Step-by-step explanation:

Let x represent Mark's age and y represent Tim's age.

Given that;

Mark is 7 less than 2 times as old as Tim;

`x=2y-7\text{ -----1}`

Together there age is 59;

`x+y=59\text{ ------2}`

Substituting equation 1 to equation 2;

`\begin{gathered} x+y=59 \\ (2y-7)+y=59 \\ 2y+y-7=59 \\ 3y-7=59 \\ 3y=59+7 \\ 3y=66 \\ \text{divide both sides by 3;} \\ (3y)/(3)=(66)/(3) \\ y=22 \end{gathered}`

Therefore, the age of Tim is;

`22\text{ years}`